Question

Use complete sentences to analyze the graph of the function f(x) = log 1/3 x.

Part 1: Describe the domain, range, and general shape of this graph. (4 points)

Part 2: Using complete sentences, explain how plotting specific points helps graph the function and note any critical points such as its intercepts.

Answer 1

\[f(x)=\log\left({1\over 3x}\right)
\]
is that it?

Answer 2

A useful thing to know is
\[\log(f/g) = \log(f) - \log(g)\]

Answer 3

can any of you guys help me with this @ZeHanz and @Directrix

Answer 4

Is the function the same as the one electrokid typed up?

@Tati_Lee

Answer 5

no it would be f(x)= log(x)/log(1/3) @genius12 i think

Answer 6

so, you have it as \[f(x)=\log\left({1\over3}x\right)\]?

Answer 7

I am asking that you typed up y = log 1/3 x in your question. Is that function given in the form electrokid typed it up as?

Answer 8

So you have \(\log_{\frac{1}{3}}x\).
The graph is decreasing (base < 1).

Answer 9

@ZeHanz We aren't sure whether 1/3 is the base or not which is why I'm trying to ask @Tati_Lee

Answer 10

@genius12 : I understand, but she wrote f(x)= log(x)/log(1/3).

Answer 11

I know lol which kinda confused but ok. I guess we can assume that.

Answer 12

isnt that right?

Answer 13

Yes it is. If 1/3 is that base that is correct.

Answer 14

it is the base

Answer 15

Domain of any log function is all positive real numbers (as long as no translations to the right or left have been applied).

Answer 16

Here is a graph: